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#5. Use the method of substitution to find the following indefinite integral. [6pts] [(962 + x)1(2x + 1) dx Search documents and file names fortext Leave two lines if not printing this page. #6. Evaluate the following definite integrals by using a method of substitution. Leave your answer in exact form (no decimals). Show all work. ] 53) [8 pts] 4 hx . x 0 9+x2 \f#7. Suppose that J f(x)dx = 10 and J g(x)dx = 20. Furthermore, suppose that f is an even function and g is an odd function. Evaluate the following integrals: Leave two lines in between subparts if not printing this page. 7a) [2 pts] f(x) dx -4 7b) [2 pts] 4 3 g(x) dx .47c) [2 pts] [(4f (x) - 39(x)) dx -4 Leave two lines if not printing this page 7d) [4 pts] 8x f (4x2) dx O (Hint: Use the substitution w = 4x2, change the limit of integration) Leave two lines if not printing this page 7e) [4 pts] N 3xf (x)dx -2 (Hint: Check the symmetry of the function 3xf (x))#8. Differentiate the following. Show your work. : [3 pts each] Leave two lines between the subparts if not printing this page. 3) f(x) = 2x7 3x4 7r+2x'3 b) y = x5(2x +3)7 c) g(x) = JE+ 3i (Hint : Simplify 3 before differentiating) J; d) f(W)= (Hint : Simplifyf before differentiating , do not use quotient rule) w2+2+3 w e) W) = 31'5'2 f) f (t) = cos(1 3t)